The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums

Abstract

We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on generalized Selberg-Kloosterman sums for discrete subgroups of 2( C) using Poincar\'e series.

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